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What is the Least Common Multiple of 92877 and 92885?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92877 and 92885 is 8626880145.

LCM(92877,92885) = 8626880145

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Least Common Multiple of 92877 and 92885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92877 and 92885, than apply into the LCM equation.

GCF(92877,92885) = 1
LCM(92877,92885) = ( 92877 × 92885) / 1
LCM(92877,92885) = 8626880145 / 1
LCM(92877,92885) = 8626880145

Least Common Multiple (LCM) of 92877 and 92885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92877 and 92885. First we will calculate the prime factors of 92877 and 92885.

Prime Factorization of 92877

Prime factors of 92877 are 3, 83, 373. Prime factorization of 92877 in exponential form is:

92877 = 31 × 831 × 3731

Prime Factorization of 92885

Prime factors of 92885 are 5, 13, 1429. Prime factorization of 92885 in exponential form is:

92885 = 51 × 131 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 92877 and 92885.

LCM(92877,92885) = 31 × 831 × 3731 × 51 × 131 × 14291
LCM(92877,92885) = 8626880145